A complement to Hayashi Connecting Lemma
Dynamical Systems
2007-05-23 v1
Abstract
Here we show that for a C^2 surface diffeomorphism that satisfy the hypothesis of Hayashi connecting lemma either can be approximated, in the C^1 topology, by a diffeomorphism exhibiting a homoclinic tangency or the diffeomorphism already presented transversal homoclinic orbits.
Cite
@article{arxiv.math/0109143,
title = {A complement to Hayashi Connecting Lemma},
author = {J. Martin and L. Mora},
journal= {arXiv preprint arXiv:math/0109143},
year = {2007}
}